3542901120 has 768 divisors, whose sum is σ = 14702688000. Its totient is φ = 806215680.

The previous prime is 3542901119. The next prime is 3542901151. The reversal of 3542901120 is 211092453.

3542901120 is a `hidden beast` number, since 3 + 542 + 9 + 0 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32503626 + ... + 32503734.

It is an arithmetic number, because the mean of its divisors is an integer number (19144125).

Almost surely, 2^3542901120 is an apocalyptic number.

3542901120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351344000).

3542901120 is an abundant number, since it is smaller than the sum of its proper divisors (11159786880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3542901120 is a wasteful number, since it uses less digits than its factorization.

3542901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3542901120 is about 59522.2741501028. The cubic root of 3542901120 is about 1524.4727902571.

Adding to 3542901120 its reverse (211092453), we get a palindrome (3753993573).

The spelling of 3542901120 in words is "three billion, five hundred forty-two million, nine hundred one thousand, one hundred twenty".